Multivalent Functions (Hardcover) (ISBN-13: 9780521460262)

The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' Theorem, which in 1985 settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof of this result, with a new chapter devoted to it. Another new chapter deals with coefficient differences. The text has been updated in several other ways, with recent theorems of Baernstein and Pommerenke on univalent functions of restricted growth, and an account of the theory of mean p-valent functions. In addition, many of the original proofs have been simplified. Each chapter contains examples and exercises of varying degrees of difficulty designed both to test understanding and illustrate the material.

Author: W. K. Hayman
ISBN-10: 0521460263
ISBN-13: 9780521460262
Publisher: Cambridge University Press
Language: English
Published: 11/24/1994
Pages: 276
Format: Hardcover
Weight: 1.10lbs
Size: 9.27h x 6.25w x 0.85d